### Abstract

The congruence properties close to being lower boundedness in the sense of McKenzie are treated. In particular, the affirmative answer is obtained to a known question as to whether finite lattices of quasivarieties are lower bounded in the case where quasivarieties are congruence-Noetherian and locally finite. Namely, we state that for every congruence-Noetherian or finitely generated locally finite quasivariety K, the lattice L_{q}(K) possesses the Day-Pudlak-Tuma property. But if a quasivariety is locally finite (without the condition of being finitely generated), that lattice satisfies only the Pudlak-Tu̇ma property.

Original language | English |
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Pages (from-to) | 349-358 |

Number of pages | 10 |

Journal | Algebra and Logic |

Volume | 36 |

Issue number | 6 |

DOIs | |

Publication status | Published - Jan 1 1997 |

### ASJC Scopus subject areas

- Analysis
- Logic

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## Cite this

Adaricheva, K. V., Gorbunov, V. A., & Dziobiak, W. (1997). Congruence properties of lattices of quasivarieties.

*Algebra and Logic*,*36*(6), 349-358. https://doi.org/10.1007/BF02671552